Sine Transform Based Preconditioning for an Inverse Source Problem of Time-Space Fractional Diffusion Equations

Author:

Pang Hong-Kui,Qin Hai-HuaORCID,Ni Shuai

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference63 articles.

1. Bai, Z.: Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Numer. Linear Algebra Appl. 25, e2157 (2018)

2. Bai, Z., Lu, K.: Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. J. Comput. Phys. 404, 109117 (2020)

3. Benson, D., Wheatcraft, S.W., Meerschaert, M.M.: Application of a fractional advection-dispersion equation. Water Resour. Res. 36, 1403–1413 (2000)

4. Benson, D., Wheatcraft, S.W., Meerschaert, M.M.: The fractional-order governing equation of Lévy motion. Water Resour. Res. 36, 1413–1423 (2000)

5. Bini D., Benedetto F.: A new preconditioner for the parallel solution of positive definite Toeplitz systems. In Proc. 2nd SPAA Conf. Crete (Greece), pp. 20–223 (1990)

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